Table of 3

Introduction

Multiplication is out of the 4 basic operations taught in the primary stages. The things taught early are believed to be remembered for a lifetime. Learning tables help us to know the list of multiples of a certain number. We can also get this by adding the number in every step. Learning tables can make everyday calculations easy. It helps in developing the mental ability of the children. It also helps to increase the speed of calculations. Understanding the problems becomes easier. The Babylonians (ancient Greek people) are known to be the first people to use tables. They used this in around 2500 B.C.

This Story also Contains

1. Introduction
2. Explanation
3. Facts
4. Multiplication Table for 3
5. 3 = 3
6. 3 + 3 = 6
7. 3 + 3 +3 = 9
8. 3 +3 + 3 + 3 = 12
9. 3 + 3 +3 +3 + 3 = 15
10. 3 + 3 +3 + 3 + 3 +3 = 18
11. 3 +3 + 3 + 3 + 3 + 3 + 3 = 21
12. 3 + 3 +3 + 3 + 3 +3 +3 + 3 = 24
13. 3 + 3 +3 + 3 + 3 +3 +3 + 3 + 3= 27
14. 3 + 3 +3 +3 + 3 + 3 + 3 +3 +3 + 3= 30
15. 3 X 1 = 3
16. 3 X 2 = 6
17. 3 X 3 = 9
18. 3 X 4 = 12
19. 3 X 5 = 15
20. 3 X 6 = 18
21. 3 X 7 = 21
22. 3 X 8 = 24
23. 3 X 9 = 27
24. 3 X 10 = 30
25. Solved Examples

Explanation

• Multiplication can also be called repeated addition. In the below example, it is showman adding 4 five times we get the result same as 4 multiplied by 5.

• When we multiply two numbers For example, 4\times 5=20

• We can say that 4 is multiplied by 5.

• The sign of multiplication is denoted by “X”, “*” or “.”.

• The first number is called “multiplier” and the second number is called “multiplicand”. The answer obtained is called a “Product”. The 4 is a multiplier, % is multiplicand and 20 is the product.

Facts

• When we multiply any number by zero, the answer will always be zero.

6\times 0 = 0

• When any number is multiplied by 1, we get the number itself.

6\times 1 = 6

• The order of multiplier and multiplicand doesn't matter. This shows multiplication is associative.

6\times 1 = 6 \\1\times 6 = 6

• It is also Commutative.If there are three or more integers and we rotate the numbers the product remains the same.

• Multiplication is distributive. ie if there are three integers A, B and C then

AX(B+C)= AXB+AXC.

• The obtained products are divisible by a given number. For example, 6 and 9 are divisible by 3.

Multiplication Table for 3

In its addition form, the table of 3 looks as follows

3 = 3

3 + 3 = 6

3 + 3 +3 = 9

3 +3 + 3 + 3 = 12

3 + 3 +3 +3 + 3 = 15

3 + 3 +3 + 3 + 3 +3 = 18

3 +3 + 3 + 3 + 3 + 3 + 3 = 21

3 + 3 +3 + 3 + 3 +3 +3 + 3 = 24

3 + 3 +3 + 3 + 3 +3 +3 + 3 + 3= 27

3 + 3 +3 +3 + 3 + 3 + 3 +3 +3 + 3= 30

Solved Examples

1. What do we get if we multiply 60 by 3?

There are two ways to find solutions. First, if we know tables we can directly write answers . Second is repetitive addition.

60\times3=180\\60+60+60=180

2. If we have 1 eraser for $3, How much will 8 erasers cost?

The cost of a single eraser is $3.

So, for 3 erasers we have to multiply 3 X 8 =24.

Therefore, 8 erasers cost $24.

3. The shopkeeper sells a single cap at $ 9, What will be the cost of 6 clothes?

The cost of a single cloth is $9, we can double the 9 we get 18. This will be the cost of two caps. For calculating four caps we will double again. Now, we get 36. So, the cost of four caps is 36. For 6 caps, we add 18 again and the answer is 54.

4. How do we find the cost of 62 laptops, if 1 laptop costs 150 rupees?

The cost of a single laptop is 150 rupees. To find 62 laptops we multiply

62 by 150 which equals 9300. Thus, we get an answer of 9300. If we use addition here, it becomes hectic. So knowing tables makes it easier to calculate.

5. What will be the cost of 1000 phones, if the price is $3 each?

If we are talking about 10’s, 100’s and 1000’s we write the number as it is and add the zeros preceded by 1. Hence, the cost will be 3 followed by 0. Thus, the cost is 3000.